ITERATIVE SOLUTIONS OF SPLIT FIXED POINT AND MONOTONE INCLUSION PROBLEMS IN HILBERT SPACES

被引：0
|
作者：
Mewomo O.T. [1 ]
Okeke C.C. [1 ,2 ]
Ogbuisi F.U. [1 ,2 ]
机构：
[1] School of Mathematics, Statistics and Computer Science, University of Kwazulu-Natal, Durban
[2] DSI-NRF Center of Excellence in Mathematical and Statistical Sciences, Johannesburg
来源：
Journal of Applied and Numerical Optimization | 2023年 / 5卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Algorithm implementation; Demicontractive mapping; Equilibrium problem; Minimization problem; Monotone inclusion;
D O I：
10.23952/jano.5.2023.2.06
中图分类号：
学科分类号：
摘要：
Our purpose in this paper is to propose an iterative method involving a step-size selected in such a way that its implementation does not require the computation or an estimate of the spectral radius. Using our algorithm, we state and prove a strong convergence theorem of a common solution to a monotone inclusion problem and a fixed point problem of multi-valued Lipschitz hemicontractive-type mappings, whose image under a bounded linear operator is a fixed point of a demicontractive mapping. Our result generalizes some important and recent results in the literature. © 2023 Journal of Applied and Numerical Optimization.
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页码：271 / 285
页数：14
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